Answer:
Proved!
Step-by-step explanation:
For two functions f(x) and g(x) to be inverses of each other then;
f(g(x)) = x and g(f(x)) = x condition must be satisfied.
<u>Checking: A. f(x) = 7x³ + 10 and g(x) = ∛</u><u />
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So f(g(x)) = 7()³ + 10
We get; 7() + 10 = x - 10 + 10 = x (*<em>This is correct!)</em>
<em />
So g(f(x)) =
Ten cancels out and we are left with;
= = x (* <em>This is also correct!)</em>
Answer:
0.9155
Step-by-step explanation:
As, the random variable X the number of accident follows the Poisson distribution so,
P(X=x)=(μ^x)(e^-μ)/x!
μ=average accident=4.1.
The probability that more than one accident occurs per year= P(X>1)=?
P(X>1)=1-P(X≤1)
P(X>1)=1-[P(X=0)+P(X=1)]
P(X=0)=(4.1^0)(e^-4.1)/0!
P(X=0)=0.016573/1
P(X=0)=0.016573
P(X=1)=(4.1^1)(e^-4.1)/1!
P(X=1)=(4.1)0.016573/1
P(X=1)=0.0679481
P(X>1)=1-[0.016573+0.0679481]
P(X>1)=1-0.084521
P(X>1)=0.915479
P(X>1)=0.9155
The probability that more than one accident occurs per year is 91.55%
Answer:
-30
Step-by-step explanation:
f(x)=5(2)x
f(-3)=5(2)(-3)
f(-3)=10(-3)
f(-3)=-30